Isotropic Point Cloud Meshing using unit Spheres (IPCMS)

05/12/2023

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by   Henriette Lipschütz, et al.

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Point clouds arise from acquisition processes applied in various scenarios, such as reverse engineering, rapid prototyping, or cultural preservation. To run various simulations via, e.g., finite element methods, on the derived data, a mesh has to be created from it. In this paper, a meshing algorithm for point clouds is presented, which is based on a sphere covering of the underlying surface. The algorithm provides a mesh close to uniformity in terms of edge lengths and angles of its triangles. Additionally, theoretical results guarantee the output to be manifold, given suitable input and parameter choices. We present both the underlying theory, which provides suitable parameter bounds, as well as experiments showing that our algorithm can compete with widely used competitors in terms of quality of the output and timings.